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Finding the Fourth Proportional to 68.42, 101.88 and 67.44

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Solution

The fourth proportional to 68.42, 101.88 and 67.44 is: 100.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.42 : 101.88 = 67.44 : x
  2. Step 2: Convert to fraction form
    68.42/101.88 = 67.44/x
  3. Step 3: Cross multiply
    68.42x = 101.88 × 67.44
  4. Step 4: Simplify right side
    68.42x = 6,870.79
  5. Step 5: Solve for x
    x = 6,870.79/68.42
  6. Step 6: Final answer
    x = 100.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.